How do you multiply #\sqrt { a ^ { 3} b ^ { 2} } \cdot \sqrt { a ^ { 2} b ^ { 5} c }#?

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Answer 1 · 2017-06-19T16:04:22

#a^5 xx b^7 xx c#

#sqrt(a^3 xx b^2) xx sqrt(a^2 xx b^5 xxc)#

Solution

#sqrt(a^3 xx b^2) xx sqrt(a^2 xx b^5 xxc)#

Sqrt & Sqrt Cancel out

#(a^(3+2) xx b^(2+5) xxc)#

#a^5 xx b^7 xx c#

Answer 2 · 2017-06-19T16:24:07

#color(blue)(a^2b^3sqrt(abc)#

#sqrt(a^3b^2)*sqrt(a^2b^5c)#

#:.sqrta xx sqrta=a, sqrtb xx sqrtb=b#

#:.=sqrt(a xx a xx a xx b xx b) xx sqrt(a xx a xx b xx b xx b xx b xx b xx c)#

#:.=ab sqrta xx ab^2 sqrt( bc)#

#:.color(blue)(=a^2b^3 sqrt(abc)#